$(\frac{a}{b}{)}^9=\frac{a^9}{b^9}$

$(\frac{m}{n^2}{)}^8=\frac{m^8}{n^{2\ast <!--\; \ast \; -->8}}=\frac{m^8}{n^{16}}$

$(\frac{c}{2d}{)}^5=\frac{c^5}{(2d{)}^5}=\frac{c^5}{32d^5}$

$(\frac{5a^6}{b^5}{)}^2=\frac{(5a^6{)}^2}{(b^5{)}^2}=\frac{5^2{a}^{6\ast <!--\; \ast \; -->2}}{b^{5\ast <!--\; \ast \; -->2}}=\frac{25a^{12}}{b^{10}}$

$(-<!--\; -\; -->\frac{3m^4}{2n^3}{)}^3=-<!--\; -\; -->\frac{(3m^4{)}^3}{(2n^3{)}^3}=-<!--\; -\; -->\frac{3^3{m}^{4\ast <!--\; \ast \; -->3}}{2^3{n}^{3\ast <!--\; \ast \; -->3}}=-<!--\; -\; -->\frac{27m^{12}}{8n^9}$

$(-<!--\; -\; -->\frac{6a^6}{b^7}{)}^2=\frac{(6a^6{)}^2}{b^{7\ast <!--\; \ast \; -->2}}=\frac{6^2{a}^{6\ast <!--\; \ast \; -->2}}{b^{14}}=\frac{36a^{12}}{b^{14}}$